228246440400 has 720 divisors, whose sum is σ = 944513975808. Its totient is φ = 50393088000.

The previous prime is 228246440377. The next prime is 228246440423. The reversal of 228246440400 is 4044642822.

It is a happy number.

228246440400 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 4 + 644 + 0 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (228246440377) and next prime (228246440423).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20863732 + ... + 20874668.

Almost surely, 2^228246440400 is an apocalyptic number.

228246440400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228246440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472256987904).

228246440400 is an abundant number, since it is smaller than the sum of its proper divisors (716267535408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

228246440400 is a wasteful number, since it uses less digits than its factorization.

228246440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11020 (or 11006 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 228246440400 in words is "two hundred twenty-eight billion, two hundred forty-six million, four hundred forty thousand, four hundred".